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Finding the Third Proportional to 154,096 and 336,544

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Solution

The third proportional to 154,096 and 336,544 is: 735,008.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,096 : 336,544 = 336,544 : x
  2. Step 2: Convert to fraction form
    154,096/336,544 = 336,544/x
  3. Step 3: Cross multiply
    154,096x = 336,544 × 336,544
  4. Step 4: Simplify right side
    154,096x = 113,261,863,936
  5. Step 5: Solve for x
    x = 113,261,863,936/154,096
  6. Step 6: Final answer
    x = 735,008.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.